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Finding the Fourth Proportional to 172.46, 237.81 and 123.32

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Solution

The fourth proportional to 172.46, 237.81 and 123.32 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 237.81 = 123.32 : x
  2. Step 2: Convert to fraction form
    172.46/237.81 = 123.32/x
  3. Step 3: Cross multiply
    172.46x = 237.81 × 123.32
  4. Step 4: Simplify right side
    172.46x = 29,326.73
  5. Step 5: Solve for x
    x = 29,326.73/172.46
  6. Step 6: Final answer
    x = 170.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.